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Unfaithful complex hyperbolic triangle groups, I : involutions.

Parker, John R. (2008) 'Unfaithful complex hyperbolic triangle groups, I : involutions.', Pacific journal of mathematics., 238 (1). pp. 145-169.

Abstract

A complex hyperbolic triangle group is the group of complex hyperbolic isometries generated by complex involutions fixing three complex lines in complex hyperbolic space. Such a group is called equilateral if there is an isometry of order three that cyclically permutes the three complex lines. We consider equilateral triangle groups for which the product of each pair of involutions and the product of all three involutions are all nonloxodromic. We classify all such groups that are discrete.

Item Type:Article
Keywords:Complex hyperbolic geometry, Triangle group.
Full text:PDF - Accepted Version
Publisher-imposed embargo
(234Kb)
Status:Peer-reviewed
Publisher Web site:http://pjm.berkeley.edu/pjm/2008/238-1/p08.xhtml
Record Created:29 Oct 2009 11:35
Last Modified:03 Jan 2014 14:58

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